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Finding the Fourth Proportional to 11,552.00, 15,941.73 and 6,516.20

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Solution

The fourth proportional to 11,552.00, 15,941.73 and 6,516.20 is: 8,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.00 : 15,941.73 = 6,516.20 : x
  2. Step 2: Convert to fraction form
    11,552.00/15,941.73 = 6,516.20/x
  3. Step 3: Cross multiply
    11,552.00x = 15,941.73 × 6,516.20
  4. Step 4: Simplify right side
    11,552.00x = 103,879,421.32
  5. Step 5: Solve for x
    x = 103,879,421.32/11,552.00
  6. Step 6: Final answer
    x = 8,992.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.